19(x) = -x – 3, solve for a when g(x) = 6.
solve for x

The area of a rectangle is given by:

Answer:

A polynomial can't have more roots than the degree. So, a sixth degree polynomial, has at most 6 distinct real roots. I may be wrong

Step-by-step explanation:

no step

Answer:

2sqrt9 would be the answer

Step-by-step explanation:

1. The square root of 9 is 3.

2. When you multiply 3 x 2 you get 6.

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Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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The limit of 1/f(x) as x approaches c exists and is equal to L.

To show that the limit of 1/f(x) exists as x approaches c, we can use the definition of the limit. We need to prove that for any ε > 0, there exists a δ > 0 such that if 0 < |x - c| < δ, then |1/f(x) - L| < ε, where L is the limit of f(x) as x approaches c.

Since f(x) ≠ 0 for 0 ≤ |x - c| < α, we can assume without loss of generality that f(x) > 0 for 0 ≤ |x - c| < α (otherwise, consider -f(x) instead). This implies that 1/f(x) is well-defined for 0 ≤ |x - c| < α.

Let's consider the limit of f(x) as x approaches c: lim x→c f(x) = L. By the definition of a limit, for any ε' > 0, there exists a δ' > 0 such that if 0 < |x - c| < δ', then |f(x) - L| < ε'.

Now, let's choose ε> 0. We want to find a δ> 0 similar that if 0<| x- c|< δ, also| 1/ f( x)- L|< ε. Since f( x) ≠ 0 for 0 ≤| x- c|< α, we can choose α as the upper bound for δ( i.e., δ ≤ α).

Consider the inequality| 1/ f( x)- L| = | 1/ f( x)- L| *| f( x)/ f( x)| = | f( x)- L|/| f( x)|. Since f( x)> 0 for 0 ≤| x- c|< α, we have

| 1/ f( x)- L| = | f( x)- L|/| f( x)|< ε'/ f( x).

Now, let's choose δ = min( α, δ'). For 0<| x- c|< δ, we've| x- c|< δ ≤ δ', which implies| f( x)- L|< ε'. also, since f( x)> 0 for 0 ≤| x- c|< α, we can conclude that 1/ f( x) is well- defined.

thus, for 0<| x- c|< δ, we have

| 1/ f( x)- L|< ε'/ f( x) ≤ ε'/a.

Since ε'/ a> 0, we can set ε = ε'/ a to gain| 1/ f( x)- L|< ε.

therefore, we've shown that for any ε> 0, there exists a δ> 0 similar that if 0<| x- c|< δ, also| 1/ f( x)- L|< ε. This satisfies the description of the limit, and thus, the limit of 1/ f( x) as x approaches c exists and is equal to L.

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Answer:

The inequality 7x < 50 can be used to answer questions that involve finding the maximum value of x that satisfies the inequality. Specifically, we can solve this inequality to find the largest value of x such that 7x is less than 50.

For example, if x represents the number of hours you can work in a week and you are paid $7 per hour, then 7x represents your weekly earnings. If you want to earn less than $50 per week, the inequality 7x < 50 would be relevant. Solving this inequality would tell you the maximum number of hours you can work per week to earn less than $50.

Another example could be finding the maximum number of items you can purchase if each item costs $7 or less and you have $50 to spend. In this case, x would represent the number of items you can purchase, and 7x represents the total cost of the items. Solving the inequality 7x < 50 would give you the maximum number of items you can purchase while spending less than $50.

So, the question that can be answered by solving the inequality 7x < 50 depends on the context in which it is being used.

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Answer:

Step-by-step explanation:

if correct mark brainliest plz

also Merry Christmas

Step-by-step explanation:

5x+4<16

or,5x<16-4

or,5x<12

or,x<12÷5

or,x<12/5

or,x<2.4

:.x<2.4

Answer:

hope it helps.

Answer: 100% increase

Step-by-step explanation:

The ordered pair that is a solution to the inequality:

y > (1/4)*x + 5

is (4, 7)

Here we have the inequality:

y > (1/4)*x + 5

To check if an ordered pair is a solution, we just need to replace the values of the ordered pair on the inequality and see if it is true.

For example, for (12, 8)

We will get:

8 > (1/4)*12 + 5

8 > 3 + 5

8 > 8

This is false, so (12, 8) is not a solution.

The pair that is a solution is:

(4, 7)

7 > (1/4)*4 + 5

7 > 1  + 5

7 > 6

This is true.

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Answer:

Banco A o banco B

Step-by-step explanation:

Question:

La tabla obtenida de una pregunta similar en el sitio se presenta a continuación;

\(\left |\begin{array}{ccccc}Entidad \ bancaria&Cuota \ inicial&Tasa \ de \ interes \ anual &\mid &Tiempo \ anos \\Banco \ "A"&10\%&15\%&\mid&20\\Banco \ "B"&20\%&13\%&\mid &25\\Banco \ "C"&0\%&10\%&\mid&30\end{array}\right |\)

¿Qué banco es el más conveniente para financiar la vivienda familiar?

Para el banco A, tenemos;

El pago inicial = 10/100 × 200,000 = 20,000

El interés = 180.000 × 15 × 20/100 = 540.000

Importe total, A = 540.000 + 20.000 = 560.000

Para el banco B, tenemos;

El pago inicial = 20/100 × 200,000 = 40,000

El interés = 160.000 × 13 × 25/100 = 520.000

Importe total, B = 520.000 + 40.000 = 560.000

Para el banco C, tenemos;

El pago inicial = 0/100 × 200,000 = 0

El interés = 200.000 × 10 × 30/100 = 600.000

Monto total, C = 600,000 + 00 = 600,000

Por lo tanto, la familia debe seleccionar el banco A o el banco B que tenga el monto total de reembolso más bajo

Answer:27?

Step-by-step explanation:

So since there needs to be 3 1/3ds in each cup you just multiply 3x9=27

Answer:  72

Step-by-step explanation:

b + 108 = 180

        b = 180 - 108

        b = 72 = c

The total length of the parallelogram-shaped cross-country course is equal to 26 miles.

We can calculate the total length of the cross-country course using the formula for the perimeter of a parallelogram, which is twice the sum of the lengths of its adjacent sides. In this case, the adjacent sides are the base of length 7 mi and the side of length 6 mi.

So, we can find the total length by first finding the sum of these two sides:

7 mi + 6 mi = 13 mi

Then, we can multiply this sum by 2 to get the total length:

2 x 13 mi = 26 mi

Therefore, the total length of the cross-country course is 26 miles.

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According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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To express the partial fraction decomposition as follows, we must utilize complex numbers.

x² / (x - (-1 + 7i)/2)(x - (-1 - 7i)/2) = A/(x - (-1 + 7i)/2) + B/(x - (-1 - 7i)/2)

where A and B are constants that we need to determine.

By describing the rational function (a) x - 30 / x2 + x - 30 as the sum of two fractions with easier denominators, we can conduct a partial fraction decomposition.

We write: after first factoring the denominator into (x - 5)(x + 6):

x - 30 / (x - 5)(x + 6) = A/(x - 5) + B/(x + 6)

where A and B are variables that we must establish as constants.

We are unable to factor the denominator of the rational function (b) x2 / x2 + x + 30 into simpler parts with real coefficients.

To express the partial fraction decomposition as follows, we must utilize complex numbers.

x² / (x - (-1 + 7i)/2)(x - (-1 - 7i)/2) = A/(x - (-1 + 7i)/2) + B/(x - (-1 - 7i)/2)

where A and B are constants that we need to determine.

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Answer:

Step-by-step explanation:

x - brother's money

3x - my money

$24 - our money

The equation:

x + 3x = $24

4x = $24

4x : 4 = $24 : 4

x = $6

3x = 3 · $6 → 3x = $18

Answer:

D.) x = − ½, x = 4

Explanation:

\(\rightarrow \sf (10x + 5)(11x - 44) = 0\)

set the factors to zero

\(\rightarrow \sf 10x + 5 = 0, \ 11x - 44 = 0\)

exchange the sides

\(\rightarrow \sf 10x = -5, \ 11x = 44\)

exchange the sides

\(\rightarrow \sf x = -\dfrac{5}{10} , \ x = \dfrac{44}{11}\)

simplify the following

\(\rightarrow \sf x = -\dfrac{1}{2} , \ x =4\)

On solving

26 x 3 = 78 because 26 + 26 + 26 = 78

Answer:

.54

Step-by-step explanation:

The structure that does not pass through the carpal tunnel is (c) Flexor carpi radialis tendon.

The carpal tunnel is a narrow passageway located on the palm side of the wrist that protects the median nerve and the flexor tendons that bend the fingers and thumb. The structures that pass through the carpal tunnel include:

- Flexor pollicis longus tendon (a)
- Flexor digitorum profundus tendons (b)
- Median nerve (d)
- Flexor digitorum superficialis tendons (e)

However, the flexor carpi radialis tendon (c) does not pass through the carpal tunnel. Instead, it passes through a separate tunnel called the carpal tunnel of the flexor carpi radialis.

Hence Option C is correct.

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

60% increase

Step-by-step explanation:

Take the new minus the original

48-30 = 18

Divide by the original

18/30

.6

Change to percent form

60% increase

Answer:

Your answer should be option 2

Step-by-step explanation:

those || lines mean parallel and the lines DE and AC are parallel.

To find the value of x, we need to use the fact that when two lines intersect, the sum of the adjacent angles formed is equal to 180 degrees.

In this case, the angle formed between lines s and t is 23 degrees, and the angle formed between lines r and s is 106 degrees. Let's denote the angle between lines t and r as x.

Using the information given, we can set up the equation:

(106 degrees) + (23 degrees) + x = 180 degrees

Combine the known values:

129 degrees + x = 180 degrees

To isolate x, subtract 129 degrees from both sides of the equation:

x = 180 degrees - 129 degrees

x = 51 degrees

Therefore, the value of x is 51 degrees.

In conclusion, the value of x, the adjacent angles formed between intersecting lines t and r, is 51 degrees.

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The conditional probability that the outcome of the coin toss was heads can be calculated using Bayes' theorem. The conditional probability that the outcome of the toss was heads given that a white ball was selected is 26/63.

Let's denote H as the event that the outcome of the coin toss was heads, and W as the event that a white ball was selected. We want to find P(H|W), the probability of the coin toss being heads given that a white ball was selected.

According to Bayes' theorem, we have:

P(H|W) = P(W|H) * P(H) / P(W)

P(W|H) is the probability of selecting a white ball given that the outcome of the coin toss was headed. Since the first mug is chosen in this case, which contains two white balls out of a total of nine balls, P(W|H) = 2/9.

P(H) is the probability of the coin toss being heads, which is 1/2 since the coin is fair.

P(W) is the probability of selecting a white ball, regardless of the outcome of the coin toss. There are a total of seven white balls out of thirteen balls (two from the first mug and five from the second mug), so P(W) = 7/13.

Therefore, substituting these values into Bayes' theorem:

P(H|W) = (2/9) * (1/2) / (7/13)

Simplifying this expression:

P(H|W) = 26/63

Therefore, the conditional probability that the outcome of the toss was heads given that a white ball was selected is 26/63.

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Answer:

12 + m

Step-by-step explanation:

it's 12 more, which would be +12 because it's adding 12

Answer:

Multiply the number of producers by $ 5,000.00

Question:

Members of a producer association

decided to donate $ 5,000.00 each to improve the production. Than

procedure allows know the total contribution?

A) Divide $ 5,000.00 between the

number of producers

B) Multiply the amount of producers for $ 5,000.00

C) Add the amount of producers plus $ 5,000.00

О

D) Subtract $ 5,000.00 from the amount of producers

Step-by-step explanation:

We are asked to find the total contribution

Each manufacture will contribute $5,000.00

We were not told the number of manufacturers that would be contributing the amount.

Total contribution = number of manufactures × $5000

The procedure that allows one to know the total contribution:

Multiply the number of producers by $ 5,000.00

Option has B stated 'amount' instead of 'number'. It may be a mistake

B) Multiply the amount of producers for $ 5,000.00

Answer: 2/3 I got this question on my test to and I got it correct!